You are deliberately missing the point that families were first part of tribes, then of "villages" then "community" . The atomisation encouraged by the current capitalist model and enabled by isolationist technology is an unprecedented change and the psychological impact of it has yet to be fully measured or realised.
For example, the phrase "it takes a village to raise a child" isn't mythical in origin.
If the state wants all able-bodied adults to be in work, it reduces the ability of family to step up, and heads towards having to outsource care that people, (usually women, but not always) were able to because financial pressures were different. Outsourced care then becomes charged at a premium, and outstrips in many cases the advantages of the family earning. State provision is tightly budgeted, private provision costs more than the state is willing to provide, and what is earned by working family members is sucked into a corporate vortex, with poor outcomes for the allegedly cared for, despite best efforts.
For all we are allegedly "advanced" while profiteering is the basic driver of the economy, real time benefits of working are reducing to an almost serfdom level.
It is not entitlement to expect state support if you are holding up your end of the bargain, and you are still out of pocket and care provision is inadequate.
And yes, there is alot of oblique undertones of Scrooge mentality seeping into politics and the public mentality by virtue of carefully crafted propaganda, and it is an extreme "right wing" mentality.
There's plenty of hypocrisy in religion, but those that do at least try to follow Christ's (alleged) teachings (disclaimer, not religious myself) often have strong community based and charitable movements within them, which may come with faith based strings, but then so does state provision, in terms of practical condionality. Families congregate together and while it might be a "family matter" to care for those who need it, the wider community is often involved. It may be to get the pearly gate brownie points, but it does a necessary job.
I don't recognise a world where callous negligence and brutality was a universal norm, otherwise Dickens wouldn't have had sources for his Tiny Tim character. There wouldn't have been alms for the poor. Historical solutions might not have measured up to the higher standards we recognise as fundamentally beneficial to individuals and wider society, but that's what progress is about - it starts with something and evolves.
I have Libertarian friends with whom I can't discuss these things because their "small state" Utopia is unviable without dismantling the current system and engaging in proper redistribution of wealth through the functionality of the economy, which nobody wants as the fallout would be long term pain and unpredictable gain.
If we've got this far why is it beyond us to adapt our ever more quickly changing society and culture to make things more equitable. Not everyone wants to hustle their way into the VIP billionaire's club, for myself, a stab at survival and less living in a state of perpetual dread due to obsolescence would be a start.